86959788493101 has 32 divisors (see below), whose sum is σ = 117509359349760. Its totient is φ = 57196985414400.

The previous prime is 86959788493093. The next prime is 86959788493159. The reversal of 86959788493101 is 10139488795968.

It is not a de Polignac number, because 86959788493101 - 2³ = 86959788493093 is a prime.

It is a super-2 number, since 2×86959788493101² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86959788492999 and 86959788493017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86959788493001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698067861 + ... + 698192421.

It is an arithmetic number, because the mean of its divisors is an integer number (3672167479680).

Almost surely, 2^{86959788493101} is an apocalyptic number.

It is an amenable number.

86959788493101 is a deficient number, since it is larger than the sum of its proper divisors (30549570856659).

86959788493101 is a wasteful number, since it uses less digits than its factorization.

86959788493101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135137.

The product of its (nonzero) digits is 940584960, while the sum is 78.

The spelling of 86959788493101 in words is "eighty-six trillion, nine hundred fifty-nine billion, seven hundred eighty-eight million, four hundred ninety-three thousand, one hundred one".